Exact solutions for a class of quasi-exactly solvable models: A unified treatment
Department of Science, University of Kurdistan, Sanandaj, Iran
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Accepted: 24 May 2017
Published online: 18 July 2017
The exact solution of the Schrödinger equation for the four quasi-exactly solvable potentials is presented using the functional Bethe ansatz method. It is shown that all models give rise to the same basic differential equation which is quasi-exactly solvable. The eigenvalues, eigenfunctions and the allowed potential parameters are given for each of the four models in terms of the roots of a set of algebraic Bethe ansatz equations.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, 2017